820431096 has 128 divisors (see below), whose sum is σ = 2231712000. Its totient is φ = 250518528.

The previous prime is 820431071. The next prime is 820431109. The reversal of 820431096 is 690134028.

820431096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820431096² = 1346214366567522432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2005740 + ... + 2006148.

It is an arithmetic number, because the mean of its divisors is an integer number (17435250).

Almost surely, 2^820431096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820431096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115856000).

820431096 is an abundant number, since it is smaller than the sum of its proper divisors (1411280904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820431096 is a wasteful number, since it uses less digits than its factorization.

820431096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 820431096 is about 28643.1684001613. The cubic root of 820431096 is about 936.1541586251.

The spelling of 820431096 in words is "eight hundred twenty million, four hundred thirty-one thousand, ninety-six".